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Finding the Third Proportional to 45,406,696 and 68,043,456

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Solution

The third proportional to 45,406,696 and 68,043,456 is: 101,965,399.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,406,696 : 68,043,456 = 68,043,456 : x
  2. Step 2: Convert to fraction form
    45,406,696/68,043,456 = 68,043,456/x
  3. Step 3: Cross multiply
    45,406,696x = 68,043,456 × 68,043,456
  4. Step 4: Simplify right side
    45,406,696x = 4,629,911,904,423,936
  5. Step 5: Solve for x
    x = 4,629,911,904,423,936/45,406,696
  6. Step 6: Final answer
    x = 101,965,399.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.